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| 基于最小二乘支持向量机的一类非自治系统自适应控制 | |
| 引用本文： | 谢春利,邵诚,赵丹丹.基于最小二乘支持向量机的一类非自治系统自适应控制[J].信息与控制,2012,41(1):1-6. |
| 作者姓名： | 谢春利 邵诚 赵丹丹 |
| 作者单位： | 1. 大连理工大学控制科学与工程学院,辽宁大连116024;大连民族学院机电信息工程学院,辽宁大连116600 2. 大连理工大学控制科学与工程学院,辽宁大连,116024 3. 大连民族学院计算机科学与工程学院,辽宁大连,116600 |
| 基金项目： | 国家973计划资助项目(2007CB714006);国家自然科学基金资助项目(61074020);中央高校基本科研业务专项资金资助项目(DC10040101) |
| 摘 要： | 提出了一种基于最小二乘支持向量机(LS-SVM)的一类不确定非自治系统自适应控制器设计方法.该方法基于最小二乘支持向量机来估计对象的部分未知非线性项,并给出了最小二乘支持向量机权向量和偏移值的在线学习规则.利用李亚普诺夫理论严格证明了整个闭环系统的跟踪误差、控制器参数以及最小二乘支持向量机权参数和偏移值的一致最终有界.此控制方法可以保证对象在线稳定地跟踪任何光滑的目标轨迹,仿真结果表明了此控制方法的可行性和有效性. |
| 关 键 词： | 最小二乘支持向量机 非自治系统 自适应控制 李亚普诺夫理论 |
Adaptive Control of a Class of Non-Autonomous Systems Based on Least Square Support Vector Machine |
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| XIE Chunli , SHAO Cheng , ZHAO Dandan.Adaptive Control of a Class of Non-Autonomous Systems Based on Least Square Support Vector Machine[J].Information and Control,2012,41(1):1-6. | |
| Authors: | XIE Chunli SHAO Cheng ZHAO Dandan |
| Affiliation: | 1.School of Control Science and Engineering,Dalian University of Technology,Dalian 116024,China; 2.College of Electromechanical and Information Engineering,Dalian Nationalities University,Dalian 116600,China; 3.School of Computer Science and Engineering,Dalian Nationalities University,Dalian 116600,China) |
| Abstract: | A design method of adaptive controller is proposed based on least square support vector machine(LS-SVM) for a class of uncertain non-autonomous systems,in which LS-SVM is adopted to estimate the partially unknown nonlinear items in the object,and an on-line learning rule for the weight vectors of LS-SVM and the bias is derived.Lyapunov theory is used to strictly prove the uniform ultimate boundedness of the tracking errors of the whole closed-loop system,the controller parameters,the weight parameters and the bias of LS-SVM.The proposed control scheme can track any smooth target trajectory steadily and online,and the simulation result shows its effectiveness and feasibility. |
| Keywords: | least square support vector machine non-autonomous system adaptive control Lyapunov theory |
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